Use the trapezium rule with four strips, each of width 0.5, to find an estimate for
∫13xex dx \int_1^3 x\sqrt{e^x}\,dx\,∫13xexdx
Give your answer to three significant figures.
Explain how the trapezium rule could be used to obtain a more accurate estimate.
125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.